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Gas mixers work quickly and will pump indefinitely and indiscriminately. Pressure regulators are slower, you can look up the value per tick. If you have a pressure regulator behind a gas mixer, it will bottleneck your system, and the gas mixer will only be able to work as quickly as the pressure regulator. Your bottleneck seems to be the H2 pressure regulator, as you are consuming far more H2 than you are O2 (if you are doing 75/25).
What you could do is mix the gas in some sort of intermediate holding pipe, perhaps a length or two of pipe with a gas canister storage if you wanted to go big, and then put a pressure regulator on the front to regulate how much of it goes into the furnace.
If you want to change your mix, you can send the gas out of that intermediate holding area back into a filtration system and start again, or even have a stockpile of different H2/O2 mixes if you use this canister method.
Bottom line is, the gas mixer works faster than a pressure regulator.
I wonder if the gas mixer calculations get off due to some sort of rounding error at the point at which there is not a lot of gas in the inputs.
I have never had a problem when I have had adequate pressure in the input pipes. I have an H2 canister storage and an O2 canister storage, + a couple pipes each, as my gas mixer inputs. So I always have pressure in the pipes when I mix in small quantities. You can try something like that and see if it changes the behavior.
If this only happens in a system where pressure is regularly very low on the inputs due to the bottlenecking of the pressure regulators, I would wonder if there's some sort of rounding error going on. I would be interested to know if this can be reproduced.